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Cauchy-Schwartz Inequality and the Uncertainty Relation
Author(s): 
Pages: 48-50
Year: Issue:  20
Journal: Chinese Journal of Chemical Education

Keyword:  柯西-施瓦兹不等式微观世界希尔伯特空间不确定度关系;
Abstract: 从自然界不同空间最基本的不等量关系出发,导出了著名的柯西-施瓦兹不等式.将其应用于微观世界量子系统,并考虑到希尔伯特空间状态物理量算符的线性厄米性质,进一步推演得到量子力学的基本规律——不确定度关系.讨论了不确定度关系的重大意义,它是微观粒子波粒二象性的客观反映,是保持原子乃至整个世界稳定的基础.
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